GCD of 987, 758, 728, 677 Calculator

Given Input numbers are 987, 758, 728, 677

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 987, 758, 728, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 758, 728, 677 is 1.

Therefore, GCD of numbers 987, 758, 728, 677 is 1

Given Input Data is 987, 758, 728, 677

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 758 is 2 x 379

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 677 is 677

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(987, 758) = 748146

GCD(987, 758) = ( 987 x 758 ) / 748146

GCD(987, 758) = 748146 / 748146

GCD(987, 758) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 987, 758, 728, 677 is 1

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1. What is the GCD of 987, 758, 728, 677?

GCD of 987, 758, 728, 677 is 1

2. Where do I get the detailed procedure to find GCD of 987, 758, 728, 677?

You can find a detailed procedure to find GCD of 987, 758, 728, 677 on our page.

3. How to find GCD of 987, 758, 728, 677 on a calculator?

You can find the GCD of 987, 758, 728, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.